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Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev

Quantitative Aptitude for Banking Preparation

Banking Exams : Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev

The document Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev is a part of the Banking Exams Course Quantitative Aptitude for Banking Preparation.

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Areas

Areas of some well-known figures are given below:

Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev

Example.1 A horizontal pipe for carrying floodwater has a diameter of 1 m. When water in it is 10 cm deep then the width of water surface AB is equal to ________ cm.

Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev
(1) 10 cm
(2) 25 cm
(3) 60 cm
(4) 70 cm
(5) None

Correct Answer is Option (3).
Let O be the centre of circle.
In ΔOAD
⇒ 502 = 402 + x²
⇒ 2500 – 1600 = x²
⇒ x² = 900
⇒ x = 30
∴ AB = 2x = 60 cm.

Try yourself:The area of quadrilateral PQRS is 228cm². Find the length of QA.
Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev

Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev

A.
16 cm
B.
9 cm
C.
8 cm
D.
18 cm

View Solution

Example.2 Area of the shaded region is:
Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev

Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev

Correct Answer is Option (1).

Volume

Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev

Length of a Diagonal

The length of diagonal of a cuboid =
The length of a diagonal of a cube =

Example.3 An insect is crawling to climb a 20 metre long pipe of diameter 3.5 metres. If the insect take 4 circular rounds to reach the top of the building, then what will be total distance (in nearer metres) traveled by insect to reach the top?
(1) 47 m
(2) 48 m
(3) 49 m
(4) 50 m

Since the insect is moving in circular way, so it will cover the distance which will be 4 times the distance of the longest side AB of a right angled triangle. In the figure AO is equal to the circumference of the pipe.
AO = πd = = 11m
BO = 5 m
AB = = = 12.08 m
Total distance traveled = 12.08 × 4 = 48.32 m
Hence distance in nearer meters = 48 m

Try yourself:What is the volume of a cone having radius of 21cm and height of 5cm?

A.
2310 cm³
B.
6930 cm³
C.
1234 cm³
D.
5000 cm³

View Solution

Example.4 The surface area of a cube is 726 sq metres. Find the volume of the cube
(1) 1234 m²
(2) 1431 m²
(3) 1341 m³
(4) 1331 m³
(5) None of these

Correct Answer is Option(4).
Surface area S = 726 m² Volume V = ?
In a cube,
S = 6a² = 726 ⇒ a² = 121 ⇒ a = 11 m
So, V = a³ = 11³ = 1331 m³.

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Wizius Careers

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Quantitative Aptitude for Banking Preparation

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